Radio station Cadena SER reports that the 21-year-old is a target for Arsenal manager Arsene Wenger.
Valencia, Villarreal and several other major clubs across Europe are also interested in the highly-rated midfielder.
Baena’s contract with Espanyol is set to expire in the summer of 2013.
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Summer 2016 is set to be a very exciting time for football fans, as this is when the long awaited Euro 2016 tournament kicks off.
Since Guus Hiddink arrived at the helm, Chelsea have improved considerably after a tricky start to the campaign.